Welcome! Lesson details for each day are described below. I will do my best to not only stay updated, but also provide extra links and resources for you to use and explore. * My Channel for Precalculus*

**Helpful Tutor:** Drew Laiche (www.mrLaiche.com). Advanced Math Tutor. drewlaiche@gmail.com

# Unit 4: Trigonometry

Day 40: **January 22nd. **Objective: Students will review unit material to prepare for a group test. **Review:** PC4-Review **Review Key:** PC4-ReviewKey **Homework:** Be ready for the group test during finals week. Also be ready for your individual test on the first day of 2nd semester.

Day 39: **January 18th. **Objective: Students will use the inverse trigonometric functions to find angles. **Notes:** PC4-6Notes **Classwork Assignment:** PC4-6InversePractice **Homework: **p. 467 #’s 1-45 odd.

Day 38: **January 16th. **Objective: Students will find the zeros of a trigonometric function using a graph. Students will write the equations of trigonometric functions given a graph or details about the graph. **Notes: **PC4-5NotesKey** ****Homework:** p. 450 #’s 1-11 odd, 21-26 all, 31-37 odd (just graph the function and ignore the “steps” it mentions in the description).

Day 37: **January 11th. **Objective: Students will graph trigonometric functions. **Notes:** PC4-4Notes and PC4-4Toolkit **Homework:** PC4-4

Day 36: **January 9th. **Objective: Students will complete reference triangles given information about an angle or trigonometric function. **Notes:** PC4-3Part1Notes and PC4-3Part2Notes **Class Assignment: PC4-3** **Homework: **p. 429 #’s 1-7 odd, #’s 17, 19, 25, 29. #’s 33-39 odd.

Day 35: **January 5th.** Objective: Students will complete the unit circle. **Unit Circle Video #1: **Unit Circle Background **Unit Circle Memorizing Method:** Unit Circle Values **Notes:** IntroTrigNotesPC4-2 **Class Assignment:** PC4-2Practice **Homework:** p. 417 #’s 1-9 odd, #’s 11, 15, 19, 23, 31, and 33.

Day 34: **January 3rd.** Objective: Students will review basic concepts on angle measure and arc length. **More Notes:** DMSNotes and ** Trig-Intro Notes ** **Skill Builder:** PC4-1Skillbuilder **Homework:** p 404 #’s 1-39 odd, 43-67 every other odd, #69 and #75. For a Bonus stamp: Complete #70, 73, and 77 AND be able to explain and show your work.

12-18-17 Update: I’m still working on grading your finals. Will post to synergy when I am finished.

**Homework for break:** Check out these notes that go along with your book:** Trig-Intro Notes **You should be looking at your book as well – chapter 5. I’m also attaching a glue-in from my Geometry class that includes information you absolutely need to know. G4 – SOHCAHTOA **Official assignment:** p 404 #’s 1-39 odd, 43-67 every other odd, #69 and #75. **Last year** we had many breaks due to snow. Feel free to check out some links from my precalculus class last year.

# Semester 1 Final Exam (December 13th and December 15th):

In order to prepare for the Final Exam, you should:

- Review all daily quizzes from this semester
- Review/Re-do each chapter review/group test for the unit tests
- Complete the Final Exam Review (Complete problems in your notebook!)
- Prepare questions to ask in class

Here is a Final_Exam_Review (Created by a professor at PCC – A. E. Cary)

Here are the Solutions (Created by a professor at PCC – A. E. Cary)

# Unit 3: Exponential and Logarithmic Functions

Day 32 and Day 33: **December 5th and December 7th. **Part 1 and Part 2 of the Exam

Day 31: **December 1st. **Objective: Students will review unit material by completing a review. **Review:** PC3-Review **Review Key:** PC3-ReviewKey1 **Updates:** Your test will be given in two parts, the first of which is on Tuesday. Part 1 (Tuesday) will be focusing on solving for x using logarithms and Part 2 (Thursday) will be on the application problems. You’ll receive a formula sheet as well as some guidance as to how to round answers.

Day 30: **November 29th. **Objective: Students will use logarithms to find the decibel levels of a sound and the magnitudes of earthquakes. **Notes:** PC3-6NotesKey **Classwork-Stations:** PC3-6ClassworkStations **Homework:** p. 386 #’s 1-10 ALL.

Day 29: **November 27th. **Objective: Students will solve application problems involving exponentials and logarithms. **Notes:** PC3-5NotesKey **Classwork:** PC3-5KeyBack and PC3-5KeyFront We completed the problems together in class. **Homework:** Finish the problems from the document (#’s 5-10) PC3-5Assignment

Day 28: **November 20th. **Objective: Students will use interest formulas to answer application problems. **Notes:** PC3-4Notes **Notes Key:** PC3-4NotesKey **Classwork:** PC3-4Assignment **Homework:** p 357 #’s 1-15 odd, 25-33 odd, #37, and #39.

Day 27: ** November 16th:** Objective: Students will review the assignment from last class working through the homework questions together. **Today’s in class notes: ** PC3-3SelectedAnswers I picked what I thought was the best example of the homework and scanned those problems. Make sure to e-mail me other questions as they come up. **Homework:** Finish the homework from last class if you didn’t already (it’s listed right below). **Also** preview the next lesson by reading pages 350-357. Take notes by writing down the theorems and formulas you see. When a formula or theorem is shown, make sure to define any variables that occur in the formula. For example, the Simple Interest Formula on page 350 defines I=Prt. You should have a sentence or two about what this formula does, as well as an explanation of what I, P, r, and t all stand for.

Day 26: **November 14th. **Objective: Students will use properties of logarithms to solve equations.**Notes:** PC3-3PartANotesKey and PC3-3PartBNotesKey **Homework:** PC 3-3(part1) worksheet #’s 13, 14, 15, 16, 23, 24, 27, 29, 30, 43, 44. ALSO: PC 3-3(part 2) worksheet ALL 8 problems.

Day 25: **November 7th.** Objective: Students will find the domain of a logarithm. Students will complete application problems with exponential and logarithmic functions. **Notes:** PC3-2Notes **Class work:** PC3-2Assignment **Homework: **p. 330 #’s 37-45 odd, #’s 77-82 ALL. Preview the properties of logarithms for the next lesson!

Day 24: **November 2nd. **Objective: Students will graph the exponential and logarithmic functions. Students will convert between exponential and logarithmic functions. **Notes:** PC3-1Notes:Assignment **Notes Key:** PC3-1NotesKey **Homework: **p 320 #’s 39,40,41, and 61. p. 330 #’s 1-29 odd.

# Unit 2: Polynomial and Rational Functions

Day 23: **October 31st. **Objective: Students will prove their knowledge by completing a chapter test. **Homework:** Preview the next unit on exponential functions and logarithms. Answer the question: What is the circle of logs?

Day 21: **October 27th. **Objective: Students will collaborate in order to complete a group test. **Homework: ** Study for the individual test on Tuesday! **Helpful Study Resource**: Take a look at all of your quizzes from this unit. We’ve covered quite a bit. I’m linking the answer key’s right here: PC2-QuizzesKey Also, there are other review problems in your book at the end of the chapter. **Group Test (Blank)**: PC2-GroupTestPart1and2

Day 20: **October 25th. **Objective: Students will write equations of rational functions given a graph. PC2-6 **Homework:** Study for the group test on Friday!

Day 19: ** October 23rd.** Objective: Students will identify horizontal and oblique asymptotes in a rational function. **Notes:** PC2-5Notes **Notes Key:** PC2-5NotesKey **Assignment: **PC2-5PracticeProblems **Homework:** Finish all practice problems (in your notebook). PC2-5PracticeProblems

Day 18: **October 19th. **Objective: Students will determine the x-intercepts, y-intercept, domain, and vertical asymptotes of a rational function. **Notes:** PC2-4Notes **Notes Key:** PC2-4NotesKey **Assignment (Homework):** PC2-4Assignment.

Day 17:** October 17th. **Objective: Students will determine the number of positive, negative, and imaginary roots using Descartes Rule of Signs. Students will use the Rational Zeros Theorem to create a list of potential rational zeros of a function. **Notes:** PC2-3Notes **Homework:** p. 263 #’s 1,2,3. p. 264 #’s 11-15 odd, 41-49 odd.

Day 16: **October 12th. **Objective: Students will simplify expressions necessary for writing solutions for polynomials. **Peer-Graded Quiz:** PC2-2Quiz **Practice Problems:** **PC2-SkillBuilding ****Key:** PC2-SkillbuildingKey **Homework:** p 273 #’s 45-53 odd, p. 279 #’s 1-9 odd. Also, watch these two videos: Descartes Rule of Signs and Rational Roots Theorem. Write down one question for each video. The questions will be required for a stamp.

Day 15: **October 10th. ** Objective: Students will write the equation of a polynomial given its roots. Students will identify the roots of a polynomial. **Intro Notes:** PC2-2(Pre)Notes **Key: **PC2-2PreKey **“Real” Notes:** PC2-2Notes **Key:** PC2-2NotesKey(1) **and** PC2-2NotesKey(2) **Homework:** PC2-2 (complete them all).

Day 14: **October 6th. **Objective:** **Students will analyze polynomials including power functions. **Class work:** PC2-0 **Notes:** PC2-1 **Answer Keys: ** **PC2-0FrontKey , PC2-0BackKey , PC2-1FrontKey and PC2-1BackKey ****Homework:** p 214 #’s 1-6 ALL. p 224 #’s 1-19 odd. **Interesting Link regarding where you study:** Economist

# Unit 1: Functions and Their Graphs

**Helpful Link:** Khan Academy – Functions** **(You could easily familiarize yourself with many concepts using Khan Academy) My Channel for Precalculus

Day 13: **October 4th. **Objective: Students will prove their knowledge by completing a test. **Homework:** none.

Day 12: **October 2nd. ** Objective: Students will review the difference quotient, transformations, compositions, and inverses to prepare for a test. **Review:** PC1-Review(2) **Homework:** Study for the test on Wednesday! **Review ANSWER KEY:** PC1-Review(2)KEY

Day 11: **September 28th. **Objective: Students will find the inverse of functions if they exist. **Notes:** PC1-9Notes **Completed Notes:** PC1-9CompletedNotes **Homework:** p 308 #’s 21-29 odd (Verify they are inverses of each other) #’s 47-53 odd (Find the inverse) **Homework Help: ** Here is a scan of finding the inverse step-by-step: InvserseStepbyStep

Day 10: ** September 26th. **Objective: Students will explore compositions of functions algebraically, graphically, and in a table. **Notes:** PC1-8Notes **Completed Notes:** PC1-8NotesCompleted **Practice Problems:** PC1-8Practice **Homework:** p. 170 #’s 1-11 odd. #’s 31-39 odd.

Day 9: **September 22nd. **Objective: Students will perform transformations of functions including reflections, stretches, and shifts. **Notes:** PC1-7Notes **Completed Notes:** PC1-7A Completed and PC1-7B Completed **Practice Problems (Homework): **PC1-7PracticeProblems **Helpful videos are linked below in my previous post. I did explain it differently in class, but it’s the same concept. **

Day 8:** September 20th.** Objective: Students will evaluate the difference quotient given a function. Students will translate functions up,down,left, and right. **Notes and Problems: **PC1-5NotesandProblems** ****Glue In:** PC 1-5 Glue In **Complete Glue In:** PC1-5NotesScan **Class Assignment:** PC1-6Exploration **Homework:** p 150 #’s 81-84 all (Just evaluate the difference quotient for each of them). p. 162 #’s 1-24 all (Make sure to sketch the graph and write the equation for all of them). **Helpful Video #1:** Transformations 1 **Helpful Video #2: **Transformations 2 **Helpful Video #3:** Transformations 3 **Helpful Video #4:** Transformations 4

Day 7:** September 18th. **Objective: Students will prove their knowledge by completing a unit test.

Day 6: **September 14th. **Objective: Students will summarize concepts and review for a chapter test. **Review:** PC1-Review **Review Answer Key:** PC1ReviewKey **Homework:** Complete the review, check your answers, and study for the test next class.

Day 5: ** September 12th. **Objective: Students will determine if a function is even, odd, or neither both algebraically and graphically. **Glue In Notes:** PC1-4 Notes **Completed Glue In Notes: ** PC1-4CompleteNotes **IN Class Assignment KEY: PC1-4PracticeProblemsKey ****Group Practice Quiz: ** **PC1-GroupPracticeQuiz ****Group Quiz Key:** PC1GroupQuizKey **Homework: **p. 148 #’s 9-23 odd (Part c only) #’s 41-53 odd (Determine even/odd/neither algebraically).

Day 4: **September 8th. **Objective: Students will identify intervals for when a function is concave up and concave down. Students will identify local minima and maxima as well as absolute minimum and maximum. **Notes: ** PC1-3Notes (Completed Notes From Class** Homework: ** **p. 151 #’s 85-88 ALL #’s 95 – 101** Graph with assistance from a device, find the Intervals Increasing/Decreasing, Local Max/Min, as well as find the intervals the graph is concave up/down. **Also: #103** (TOTAL PROBLEMS – 13). **Video on Increasing/Decreasing and Concavity: **YouTube. **Video on problem #103: ** YouTube

Day 3: **September 6th. **Objective: Students will identify intervals for when a function is increasing and decreasing including problems involving piecewise functions. **Notes: **PC1-2Notes **Homework: ** p. 148 #1-8 all, 9-25 odd NOT (c).

Day 2: **September 1st. **Objective: Students will find the domain of a function algebraically and graphically. Students will find the range of a function graphically. **Notes:** PC1-1Notes (updated). **Assignment/Homework:** p. 125 #’s 1-13 odd, #’s 21-63 odd. Show work (including drawing graphs). Use these scans to do homework if you don’t have a book yet. 2.1-prob.-set-page-1 and 2.1-prob.-set-page-2. **Helpful Video: **Domain and Range (Basic).

Day 1: **August 30th**. Objective: Students will read syllabus, understand course expectations, and pre-assess unit 1 material. **Syllabus: Syllabus ****Worksheet/Homework: **Day 1 what do you know. **Helpful Notes from Class:** PC1-0 Notes Scan **Supplemental Links:** Is it a function? or What is a function?